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Finding the Fourth Proportional to 49,180, 67,868.40 and 26,824

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Solution

The fourth proportional to 49,180, 67,868.40 and 26,824 is: 37,017.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,180 : 67,868.40 = 26,824 : x
  2. Step 2: Convert to fraction form
    49,180/67,868.40 = 26,824/x
  3. Step 3: Cross multiply
    49,180x = 67,868.40 × 26,824
  4. Step 4: Simplify right side
    49,180x = 1,820,501,961.60
  5. Step 5: Solve for x
    x = 1,820,501,961.60/49,180
  6. Step 6: Final answer
    x = 37,017.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.